Research on Mathematical Model and Flank Deviation Correction of Spiral Bevel Gear by Duplex Helical Method

Longlong Geng; Jing Deng; Shaowu Nie; Xiaozhong Deng; Chuang Jiang; Zhengyang Han

doi:10.16578/j.issn.1004.2539.2020.09.002

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Research on Mathematical Model and Flank Deviation Correction of Spiral Bevel Gear by Duplex Helical Method

Theory·Reserach | 更新时间：2022-11-02

- Research on Mathematical Model and Flank Deviation Correction of Spiral Bevel Gear by Duplex Helical Method
- Journal of Mechanical Transmission Vol. 44, Issue 9, Pages: 7-13(2020)
- 作者机构：
  
  1.西北工业大学机电学院，陕西西安 710072
  2.河南科技大学机电工程学院，河南洛阳 471003
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2020.09.002
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耿龙龙,邓静,聂少武等.弧齿锥齿轮双重螺旋法加工数学模型及齿面偏差修正研究[J].机械传动,2020,44(09):7-13.

Geng Longlong,Deng Jing,Nie Shaowu,et al.Research on Mathematical Model and Flank Deviation Correction of Spiral Bevel Gear by Duplex Helical Method[J].Journal of Mechanical Transmission,2020,44(09):7-13.
耿龙龙,邓静,聂少武等.弧齿锥齿轮双重螺旋法加工数学模型及齿面偏差修正研究[J].机械传动,2020,44(09):7-13. DOI： 10.16578/j.issn.1004.2539.2020.09.002.

Geng Longlong,Deng Jing,Nie Shaowu,et al.Research on Mathematical Model and Flank Deviation Correction of Spiral Bevel Gear by Duplex Helical Method[J].Journal of Mechanical Transmission,2020,44(09):7-13. DOI： 10.16578/j.issn.1004.2539.2020.09.002.

摘要

建立了弧齿锥齿轮双重螺旋法加工的数学模型。基于齿轮啮合原理，完成了弧齿锥齿轮双重螺旋法加工齿面的数字化表达及离散化齿面点的构建，分析了各加工参数误差对齿面拓扑结构的影响程度；建立了齿面修正模型，通过算例验证，结果表明，齿面偏差得到了有效减小。

Abstract

A mathematical model is established to machine spiral bevel gears by duplex helical method. Based on the meshing principle of the gear， the digital representation of the spiral bevel gear tooth surface processed by the double helix method and the construction of discrete tooth surface points are completed， and the influence degree of each machine parameter error on tooth surface topology structure are analyzed. The correction model of tooth surface is built， through numerical example verification， the results show that tooth surface deviation is reduced effectively.

关键词

弧齿锥齿轮双重螺旋法数学模型齿面拓扑齿面偏差修正

Keywords

Spiral bevel gearDuplex helical methodMathematical modelTooth surface topologyCorrection of tooth surface deviation

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